Pair production of Dirac particles in a $$d+1$$ d + 1 -dimensional noncommutative space–time

Abstract

This work addresses the computation of the probability of fermionic particle pair production in (d + 1)-dimensional noncommutative Moyal space. Using SeibergWitten maps, which establish relations between noncommutative and commutative field variables, up to the first order in the noncommutative parameter θ , we derive the probability density of vacuum-vacuum pair production of Dirac particles. The cases of constant electromagnetic, alternating time-dependent, and space-dependent electric fields are considered and discussed.